It is kind of like the dilemma that one would have with names like:
Leonardo di ser Piero da Vinci, Piero is his father’s first name, and Vinci is the name of the town where he was born.
None of that goes in the surname, so therefore all of it must go into either the given name or the surname suffix.
Or my grandfather Olaf Olsen, where Olsen was a patronymic of his father Ole and his sister went by Marta Olesdotter!
My father would have been Jarl Olafsen but he did not want a patronymic name and was allowed to take a different permanent surname.